404970624 has 128 divisors (see below), whose sum is σ = 1227916800. Its totient is φ = 131300352.

The previous prime is 404970619. The next prime is 404970641. The reversal of 404970624 is 426079404.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126289 + ... + 129455.

It is an arithmetic number, because the mean of its divisors is an integer number (9593100).

Almost surely, 2^404970624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404970624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613958400).

404970624 is an abundant number, since it is smaller than the sum of its proper divisors (822946176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

404970624 is a wasteful number, since it uses less digits than its factorization.

404970624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3227 (or 3209 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 404970624 is about 20123.8819316751. The cubic root of 404970624 is about 739.8457336084.

The spelling of 404970624 in words is "four hundred four million, nine hundred seventy thousand, six hundred twenty-four".